Drama over - avoid having to leave North Island (6)

I believe the answer is:

honshu

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

Here is my best explanation:

'island' is the definition.
(Honshu is an example)

'drama over avoid having to leave north' is the wordplay.
I cannot quite see how this works, but
'over' could be 'on' (physically on top of) and 'on' is found within the answer.
This explanation may well be incorrect...

Can you help me to learn more?