Club and hotel in city (4)
I believe the answer is:
bath
'city' is the definition.
(English city)
'club and hotel' is the wordplay.
'club' becomes 'bat' (as in sporting equipment).
'and' means one lot of letters go next to another.
'hotel' becomes 'h' (phonetic alphabet).
'bat'+'h'='BATH'
'in' is the link.
(Other definitions for bath that I've seen before include "Hard cheese biscuit -- a live throb (anag)" , "Home fixture (for City?)" , "cleaning unit" , "English spa founded by the Romans" , "city that may or may not chime with 27 [HEARTH]" .)