To increase the tension is a different way to get thin! (7)

I believe the answer is:

tighten

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'to increase the tension' is the definition.
I can't judge whether this defines the answer.

'different way to get thin' is the wordplay.
'different way' indicates anagramming the letters.
'get'+'thin'='getthin'
'getthin' anagrammed gives 'TIGHTEN'.

'is a' acts as a link.

Can you help me to learn more?

(Other definitions for tighten that I've seen before include "Apply increased tension or security" , "Make more restrictive" , "becoming tense" , "Make tenser" , "Make less loose" .)

I've seen this clue in The Irish Independent.

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