Product review (4 stars): GOOD fit for Kenmore 110.8687310 clothes dryer (but not perfect connections)
I checked the Model and it was a fit.
Yes it fits and -appears- to be a good replacement motor.

No installation instructions came with the motor so a couple of hints:
1-Label the wires with the Number of the connection it is on.  Mine had a completely different wiring 'block'.
2-When you install the motor make sure the 'tab' on the motor mount sits in the 'slot' on the mounting bracket.

Caveat: The wiring 'block' was 180 degrees different from my old motor.
The OLD wiring block was at 1 o'clock from the TAB, the NEW block is at 7 o'clock.  So if your dryer has 'short' wires, be aware.

The reason I knocked off one star is the wiring spade terminals on the NEW motor are -very narrow- while the DRYER wires have 1/4 inch spade plugs.  The plugs -can be replaced- on the dryer wires but the simple solution is to SLIGHTLY crush the plugs so the will tightly fit the smaller spade terminals.