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 justify 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' put into 'bat' is 'bait'.
'that' is the link.
(Other definitions for bait that I've seen before include "Lure, enticement", "Food used as lure", "Tease", "Food to entice fish; taunt", "Allurement", "Used to lure fish or other animals into danger", "Boilie, for example", "Deliberately annoy or taunt", "Angler's lure for fish" and "Lure; deliberately taunt".)