C Kent's partner gets bad back in market town (8)
I believe the answer is:
llanelli
'town' is the definition.
(I've seen this before)
I don't understand how the rest of the clue works.
Can you help me to learn more?
(Other definitions for llanelli that I've seen before include "Welsh community" , "Carmarthenshire town; an ill ell (anagram)" , "Welsh place" , "industrial centre" , "East Carmarthen Bay town" .)