LA chemist's wig put away when cycling back (9)
I believe the answer is:
drugstore
'la chemist's' is the definition.
'drugstore' can be an answer for 'chemist's' (synonyms). I am not sure about the 'la' bit.
'wig put away when cycling back' is the wordplay.
I cannot quite see how this works, but
'wig' could be 'rug' (rug is a slang term for a wig) and 'rug' is located in the answer.
'put' could be 'store' (storing is a kind of putting) and 'store' is located in the answer.
A single letter 'd' remains which might be clued in a way I don't understand.
This may be the basis of the clue (or it may be nonsense).
Can you help me to learn more?
(Other definitions for drugstore that I've seen before include "In America, pharmacy that also sells light refreshments and other goods" , "American chemist's shop, also sells refreshments" , "Chemist's shop in USA, also sells ice-cream" , "US shop" , "An American chemist shop, also sells other things" .)