Heads of bespoke English fashion industry tailoring suit (5)
I believe the answer is:
befit
'suit' is the definition.
(I know that suit can be written as befit)
'heads of bespoke english fashion industry tailoring' is the wordplay.
'heads of' says to take the initial letters.
The first letters of 'bespoke english fashion industry tailoring' is 'BEFIT'.
(Other definitions for befit that I've seen before include "Be appropriate for" , "Become, suit" , "Be right and suitable for" .)