cheekpiece

English Thesaurus

1. either of two straps of a bridle that connect the bit to the headpiece (noun.artifact)

hypernym	:	strap,
definition	:	an elongated leather strip (or a strip of similar material) for binding things together or holding something in position (noun.artifact)

part meronym	:	bridle,
definition	:	headgear for a horse; includes a headstall and bit and reins to give the rider or driver control (noun.artifact)