Crossword Genius

Offshore territory briefly identified by limitless biome? (4,2,3)

Ross

I believe the answer is:

isle of man

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

'offshore territory' is the definition.
'Isle of Man' can be an answer for 'territory' (dependent territory of the UK). I'm not certain of the 'offshore' bit.

'briefly identified by limitless biome?' is the wordplay.
I cannot really see how this works, but
'by' could be 'of' and 'of' is located in the answer.
The remaining letters 'isleman' is a valid word which might be clued in a way I don't see.
This may be the basis of the clue (or it may be nonsense).

Can you help me to learn more?

(Other definitions for isle of man that I've seen before include "Its cats are said to be lacking tails" , "Here are Peel, Douglas" , "Where to find the House of Keys" , "Island in 33 Across where cats have no tails" , "Island in the Irish Sea" .)

I've seen this clue in The Times.
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