One on two wheels in Cyprus, not a top celebrity! (7)
I believe the answer is:
cyclist
'one on two wheels' is the definition.
Although both the answer and definition are singular nouns, I can't understand how they can define each other.
'cyprus not a top celebrity' is the wordplay.
'cyprus' becomes 'cy' (abbreviation).
'not a' becomes 'c' (I am not sure about this - if you are sure you should give a lot more credence to this answer).
'top' means to remove the first letter.
'celebrity' becomes 'a-list' (I've seen this before).
'alist' with its initial letter taken away is 'list'.
'cy'+'c'+'list'='CYCLIST'
'in' is the link.
Can you help me to learn more?
(Other definitions for cyclist that I've seen before include "Traveller who pushes the pedals" , "Bike user" , "He rides a two-wheeled vehicle" , "Biker" , "Person on a bike" .)