Bat is confused between stick and belt (9)
I believe the answer is:
waistband
'belt' is the definition.
(thesaurus)
'bat is confused between stick' is the wordplay.
'confused' indicates anagramming the letters.
'between' is an insertion indicator.
'stick' becomes 'wand' (a wand is a small stick).
'bat'+'is'='batis'
'batis' with letters rearranged gives 'aistb'.
'aistb' inserted inside 'wand' is 'WAISTBAND'.
'and' is the link.
(Other definitions for waistband that I've seen before include "What's let out with 6D [SPARE TYRE]" , "bit of skirt?" .)