Servants keeping cold eggs for one player here (7)
I believe the answer is:
mcenroe
'one player here' is the definition.
I know nothing about this answer so I can't tell whether this works.
'servants keeping cold eggs' is the wordplay.
'servants' becomes 'men' (man can mean a personal servant).
'keeping' is an insertion indicator.
'cold' becomes 'c' (eg on taps).
'eggs' becomes 'roe' (fish eggs).
'men' placed around 'c' is 'mcen'.
'mcen'+'roe'='MCENROE'
'for' acts as a link.
(Other definitions for mcenroe that I've seen before include "Tennis star" , "he's noted for being controversial" , "John --, US tennis player" .)