Tender to have registered leaf (5)

I believe the answer is:

frond

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'leaf' is the definition.
(frond is a kind of leaf)

'tender to have registered' is the wordplay.
'tender' becomes 'fond' (synonyms).
'to have' indicates putting letters inside.
'registered' becomes 'r' (this could be a standard abbreviation of which I'm unaware).
'fond' enclosing 'r' is 'FROND'.

Can you help me to learn more?

(Other definitions for frond that I've seen before include "Leaf-like organ" , "Palm leaf" , "Fern leaf" , "part of palm" .)

I've seen this clue in The Mirror.

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