Leave a musical group with no backing (7)
I believe the answer is:
abandon
'leave' is the definition.
(to abandon is to leave or desert)
'a musical group with no backing' is the wordplay.
'musical group' becomes 'band' (band is a kind of musical group).
'with' means one lot of letters go next to another.
'backing' is a reversal indicator.
'no' backwards is 'on'.
'a'+'band'+'on'='ABANDON'
(Other definitions for abandon that I've seen before include "Give up (something) completely" , "Wantonness: desert" , "Jack in" , "Cast aside" , "Desert or yield without restraint" .)