Eccentric has row in Cyprus (6)
I believe the answer is:
cranky
'eccentric' is the definition.
(I've seen this before)
'row in cyprus' is the wordplay.
'row' becomes 'rank' (I've seen this before).
'in' indicates putting letters inside.
'cyprus' becomes 'cy' (abbreviation).
'rank' put within 'cy' is 'CRANKY'.
'has' is the link.
(Other definitions for cranky that I've seen before include "Eccentric, odd (colloq.)" , "Eccentric - irritable" , "Oddball" , "Eccentric - bad-tempered" , "Eccentric, strange" .)