Free the 'orse outside (8)

I believe the answer is:
untether
'free the 'orse outside' is the definition.
I know nothing about this answer so I can't tell whether it can be defined by this definition.
'free the 'orse outside' is the wordplay.
'free' indicates an anagram.
''orse' becomes ''unter' ('hunter' - I've seen this before - said with the 'H' dropped, a cockney accent, like 'horse' was).
'outside' is an insertion indicator (some letters go outside others).
'the' anagrammed gives 'eth'.
'eth' put inside 'unter' is 'UNTETHER'.
Can you help me to learn more?
(Other definitions for untether that I've seen before include "Release (tied animal)" , "Set free" .)
