Restaurant purchased by pub is troublesome (6)
I believe the answer is:
bistro
'restaurant' is the definition.
(I know that bistro is a type of restaurant)
'purchased by pub is troublesome' is the wordplay.
'purchased by' indicates the answer is hidden within the clue.
'BISTRO' can be found hidden inside 'pub is troublesome'.
(Other definitions for bistro that I've seen before include "Cheap restaurant" , "Small restaurant - robs it (anag)" , "Small informal French restaurant" , "Small informal French cafi" , "A small informal restaurant from France" .)