I feel cold, not half, somehow? I'm frozen! (3,4)

I believe the answer is:

ice floe

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'i'm frozen' is the definition.
I can't judge whether this definition defines the answer.

'i feel cold not half somehow?' is the wordplay.
'not half' indicates taking half.
'somehow?' is an anagram indicator (I've seen 'somehow' mean this).
'cold' cut in half is 'co'.
'feel'+'co'='feelco'
'feelco' is an anagram of 'cefloe'.
'i'+'cefloe'='ICE-FLOE'

Can you help me to learn more?

(Other definitions for ice floe that I've seen before include "Floating mass of frozen water" , "Cold sheet" , "Frozen floating object" , "Large sheet of frozen water" , "Large frozen sheet floating at sea" .)

I've seen this clue in The Times.

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