Improve tea from Catherine (6)

I believe the answer is:

enrich

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'improve tea from catherine' is the definition.
'enrich' can be an answer for 'improve' (enriching is a kind of improving). I'm unsure of the 'tea from catherine' bit.

'improve tea from catherine' is the wordplay.
'improve' is an anagram indicator.
'from' suggests deleting specific letters.
'catherine' with 'tea' taken away is 'chrine'.
'chrine' with letters rearranged gives 'ENRICH'.

Can you help me to learn more?

(Other definitions for enrich that I've seen before include "Concentrate" , "Heighten" , "Add nutrients to" , "Make wealthy or improve the quality" , "Make fuller flavoured" .)

I've seen this clue in the Irish Times and the Irish Times (Crosaire).

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