Is vegetable, but there may be fur on it (5)

I believe the answer is:

fruit

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

'is vegetable but there' is the definition.
I can't tell whether this defines the answer.

'may be fur on it' is the wordplay.
'may be' indicates an anagram.
'on' means one lot of letters go next to another.
'fur' anagrammed gives 'fru'.
'fru'+'it'='FRUIT'

Can you help me to learn more?

(Other definitions for fruit that I've seen before include "Orange, lemon" , "Eg, apple or pear" , "Oranges and lemons" , "Kiwi, mandarin etc" , "Result - food" .)

I've seen this clue in the Evening Standard.

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