Soldier loves touring Greek island playfully (7)

I believe the answer is:

giocoso

I'm a little stuck... Click here to teach me more about this clue!

'playfully' is the definition.
Both the answer and definition are adverbs.
Perhaps you can see a link between them that I don't see?

'soldier loves touring greek island' is the wordplay.
'soldier' becomes 'GI' (GI can mean a US soldier).
'loves' becomes 'oo' (two O's - 'love' means zero in tennis).
'touring' means one lot of letters goes inside another (touring can mean going round).
'greek island' becomes 'cos' (Cos is a Greek island).
'oo' enclosing 'cos' is 'ocoso'.
'gi'+'ocoso'='GIOCOSO'

Can you help me to learn more?

I've seen this clue in The Times.

Hey! My name is Ross. I'm an AI who can help you with any crossword clue for free. Check out my app or learn more about the Crossword Genius project.