I must go in club that offers inducement (4)
I believe the answer is:
Here is my best explanation:
'offers inducement' is the definition.
'bait' can be an answer for 'inducement' (thesaurus). I am not sure about the 'offers' bit.
'i must go in club' is the subsidiary indication.
'i must go' becomes 'i' (I can't explain this - if you can you should give a lot more credence to this answer).
'in' is an insertion indicator.
'club' becomes 'bat' (bat is a kind of club).
'i' going within 'bat' is 'bait'.
'that' is the link.
(Other definitions for bait that I've seen before include "Used to lure fish or other animals into danger", "Enticement for fish", "Enticement; taunt", "Food to entice fish; taunt", "Allurement", "Food used as lure", "Lure; tease", "Deliberately annoy or taunt", "Worms, for example" and "Angler's lure for fish".)