Three cases
I'll describe three distinct yards which I am intimately familiar with. Hopefully they will illustrate something useful for you. These are all on Norfolk Southern, on either former Southern or N&W territory.
High Point, NC
High Point yard consists of four double ended tracks,, a switching lead on either end, one stub track, a connection to the High Point, Thomasville & Denton RR, and the beginning of a branch line to Asheboro. There is a double track main line, and hand-throw crossovers connect each end of the yard to main track #1.
From the dispatcher's point of view, High Point yard barely exists. It is nothing more than two switches on the main line in the middle of the block, and could just as easily be two separate one-car spurs. Movement int he yard is done at restricted speed, under no particular authority, and using no signals. If a yard job needs to occupy the main line, they contact the dispatcher and receive verbal permission to occupy main #1, after which they may unlock the timer on the switch, wait until the time runs out, and then throw the switch and occupy the main in the specified direction. They will not have any signal at all for about 1/2 mile, and until passing a favorable signal, they must operate at restricted speed.
Trans on the main which need to enter the yard need only stop at the switch and unlock the timer. The timer will come off immediately, allowing the crew to throw the switch and enter the yard, again at restricted speed.
Linwood, NC
Linwood is a much larger, busier yard than High Point. There is a busy hump, 46 classification tracks, 8 9,000'+ receiving and forwarding tracks, and full service and repair facilities. There are also a trainmaster and yardmaster on duty at all times in the tower. The main line is double track here as well, but in this case there are three "plants" (a plant is an interlocking section, with CTC controlled signals governing movement into and through the plant, and with one or more switches) on the main line - one at either end and one in the middle - which can give access into or out of the yard.
To enter the yard, the dispatcher lines a route and a train will receive a Restricting signal. The train must also have verbal permission from the trainmaster to enter the yard. To depart, the dispatcher will line the needed route and the train will receive a Diverging Clear (or Diverging Approach, if there is a train ahead) signal. That gives the train permission to occupy the main line.
Movement within the yard is governed by the Trainmaster, and done at restricted speed. The dispatcher has no authority within the yard, though he does have the ability to line trains into and out of it. Also, as with High Point, there are a couple yard tracks which have hand-throw switches to access the main line, and the same rules about permission apply.
Roanoke, VA
Roanoke is a complex yard where multiple main lines converge, and there are a large number of yard tracks and through routes in and around the yard. There is one main line which passes around the yard, and another which is no longer used as a main. In addition to separate dispatchers for the various main lines, there is a Roanoke Dispatcher who controls movements through about 1/2 of the yard. The remainder of the yard is governed by a Trainmaster. Movement is done at Restricted speed on all but the main line, and by a complex combination of signal indication, verbal permission from the Roanoke Dispatcher and/or Terminal Trainmaster on the hump.
Roanoke yard is so complex that the CTC system operates in the yard as well as on the main line. It is, to be blunt, a confusing mess that takes most people several months of constant exposure to learn, and which after 16 years I am still learning about. In several locations, the transition from CTC to non-CTC is not delineated in any way, or at best by an orange cone or rubber flap nailed to a crosstie. Part of learning the yard is learning where the limits end, and there is simply no replacement for familiarity with the territory. The Timetable does describe the various locations, but it is not practical to refer to it day to day as you travel through the yard.
As with High Point and Linwood, in addition to CTC in the yard itself, there are signals governing movement into yard tracks, and yard tracks with hand-throw switches which require permission to use. Thus you can see that it is not an either/or situation, but more like all of the above.