Thai cycling around a Greek island (6)
I believe the answer is:
ithaca
'greek island' is the definition.
(I've seen this before)
'thai cycling around a' is the wordplay.
'cycling' indicates anagramming the letters.
'around' becomes 'c' (abbreviation for 'circa').
'thai' is an anagram of 'itha'.
'itha'+'c'+'a'='ITHACA'
(Other definitions for ithaca that I've seen before include "Ionian island, home of Ulysses" , "Greek island sought by Ulysses" , "part of NY" , "Where Ulysses was produced" , "Last location of Homer's Odyssey" .)