Head of Sky Sports making promises (6)
I believe the answer is:
swears
'promises' is the definition.
(I've seen this in another clue)
'head of sky sports' is the wordplay.
'head of' suggests taking the first letters.
'sports' becomes 'wears' (I've seen this in another clue).
The initial letter of 'sky' is 's'.
's'+'wears'='SWEARS'
'making' acts as a link.
(Other definitions for swears that I've seen before include "Curses or pledges" , "Takes oath or curses" , "Quite (mus.); a female voice" , "Blinds" , "Takes oath or utters imprecation (6)" .)