Clean and untangle the reins (5)

I believe the answer is:

rinse

I'm a little stuck... Click here to teach me more about this clue!

'clean' is the definition.
(I've seen this in another clue)

'untangle the reins' is the wordplay.
'reins' can be anagrammed to 'RINSE'.
Though, I'm unsure how this is indicated.

'and' is the link.

Can you help me to learn more?

(Other definitions for rinse that I've seen before include "Sluice" , "Hair tint" , "Wash lightly without soap" , "Flush" , "Hair colourant" .)

I've seen this clue in the Evening Standard.

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