Divorcee gets a quote that will thrill them (6)

I believe the answer is:

excite

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'will thrill them' is the definition.
I can't judge whether this definition defines the answer.

'divorcee gets a quote' is the wordplay.
'divorcee' becomes 'ex' (an ex-spouse).
'gets' means one lot of letters go next to another.
'a quote' becomes 'cite' (I've seen this before).
'ex'+'cite'='EXCITE'

'that' acts as a link.

Can you help me to learn more?

(Other definitions for excite that I've seen before include "Arouse, make eager" , "Kindle" , "Act as a stimulant" , "Stir up, stimulate" , "Create enthusiasm" .)

I've seen this clue in The Irish Times.

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