This is called . In some monolingual dictionaries, there is even an entry for it:
> ****
> ―
> Source: via kotobank.jp
the description roughly translating to
> Pulling out the blade a little bit so as to enable quick drawing of the sword. Loosening the mouth of a sword sheath.
_koiguchi_ literally means "carp's mouth", because, well, the mouth of the sheath resembles an open carp's mouth.
The verb _kiru_ has many different meanings ( lists 22 meanings) and here should maybe not be understood with its common meaning of "cutting" but probably with the meaning of "opening something sealed/closed" (point 3 in _ibid._ ).