She shows a chap round Central Park (5)
I believe the answer is:
karen
'she' is the definition.
'a chap round central park' is the wordplay.
'a chap' becomes 'ken' (man's name).
'round' means one lot of letters goes inside another.
'central' says to take the centre.
The centre of 'park' is 'ar'.
'ken' going around 'ar' is 'KAREN'.
'shows' acts as a link.
(Other definitions for karen that I've seen before include "One at home in 15 across [AARHUS]" , "Carpenter of note" , "oriental language" , "Girl's name - ethnic Thai in Burma" , "Girl" .)