Jog out of bistro, timidly (4)
I believe the answer is:
trot
'jog' is the definition.
(I know that jog can be written as trot)
'of bistro timidly' is the wordplay.
'of' indicates a hidden word.
'TROT' can be found hidden inside 'bistro timidly'.
'out' is the link.
(Other definitions for trot that I've seen before include "Fairly fast pace of a horse" , "(Horse's) pace faster than a walk" , "Horse's gait faster than a walk" , "Go at steady pace" , "Fairly brisk pace" .)