Snap up — a bit (7)
I believe the answer is:
snaffle
I believe this is a double definition.
'snap up' is the first definition.
(synonyms)
'a bit' is the second definition.
(type of bit used in horseriding)
(Other definitions for snaffle that I've seen before include "Take for oneself" , "bit for the horse" , "Pinch" , "Get hold of" , "A bit; steal (colloq.)" .)