Everybody turns round in, to see her (4)
I believe the answer is:
lola
'her' is the definition.
'everybody turns round in' is the wordplay.
'everybody' becomes 'all' (I've seen this before).
'turns' says the letters should be written backwards.
'round' becomes 'o' (round can mean a round object**).
'in' indicates putting letters inside.
'all' written backwards gives 'lla'.
'lla' placed around 'o' is 'LOLA'.
'to see' acts as a link.
(Other definitions for lola that I've seen before include "song by 4 [THE KINKS]" , "Whatever -- wants (song); -- Montez, mistress of Ludwig I" .)