Global organisation uses links to liberate them (7)

I believe the answer is:

unchain

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'to liberate them' is the definition.
I can't tell whether this defines the answer.

'global organisation uses' is the wordplay.
'global organisation' becomes 'UN' (United Nations).
'uses' becomes 'chain' (I can't justify this - if you can you should give a lot more credence to this answer).
'un'+'chain'='UNCHAIN'

'links' acts as a link.

Can you help me to learn more?

(Other definitions for unchain that I've seen before include "Release from bondage" , "Release from fetters" , "Free" , "loose" .)

I've seen this clue in The Irish Times.

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