Stay over with the French and like their food (6)
I believe the answer is:
edible
'food' is the definition.
(edible is a kind of food)
'stay over with the french' is the wordplay.
'stay' becomes 'bide' (biding is a kind of staying).
'over' is a reversal indicator.
'with' is a charade indicator (letters next to each other).
'the french' becomes 'le' ('the' in French).
'bide' back-to-front is 'edib'.
'edib'+'le'='EDIBLE'
'and like their' is the link.
This may not be right. Some or all of it may belong to another bit of the clue.
Can you help me to learn more?
(Other definitions for edible that I've seen before include "Fit for eating" , "Fit to be consumed" , "Fit to be used as food" , "Eatable" , "suited to diners" .)