British menace's sidekick chanted back alluding to woman (7)
I believe the answer is:
gnasher
'british menace's sidekick chanted' is the definition.
I don't know anything about this answer so I cannot tell whether this works.
'back alluding to woman' is the wordplay.
'back' says the letters should be written in reverse.
'alluding to' becomes 'sang' (I can't explain this - if you can you should believe this answer much more).
'woman' becomes 'her' (her refers to a woman).
'sang' reversed gives 'gnas'.
'gnas'+'her'='GNASHER'
Can you help me to learn more?
(Other definitions for gnasher that I've seen before include "Tooth (facetious)" , "Tooth (informal)" , "Tooth (sl.)" .)