By accepting this conclusion, they show they're flexible (5)

I believe the answer is:

bendy

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'flexible' is the definition.
(able to bend)

'by accepting this conclusion' is the wordplay.
'accepting' is an insertion indicator (inserted letters are accepted).
'this conclusion' becomes 'end' (something's conclusion is its end).
'by' enclosing 'end' is 'BENDY'.

'they show they're' acts as a link.
I am not very happy about this link. Some or all of it may belong to another bit of the clue.

Can you help me to learn more?

(Another definition for bendy that I've seen is " Flexible".)

I've seen this clue in The Irish Times.

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