cheekpiece
Concise Oxford English Dictionary © 2008 Oxford University Press:
cheekpiece/ˈtʃiːkpiːs/
▶noun
- 1 a smooth block fitted to the stock of a rifle or shotgun and resting against the face when aiming from the shoulder.
- 2 either of the two straps of a horse's bridle joining the bit and the headpiece.
'cheekpiece' also found in these Oxford entries:

