I saved Yuich's skin a few times

Kotaro Isakaの小説 "Bullet Train" を読んでいます。

'You knew about that? Like father like son, Kimura muses ruefully, but at the same time he knows that it has to stop with Wataru. Hopefully not like grandson too.
'Actually, I saved Yuich's skin a few times,' Shigeru says, sounding somewhat sheepish, not from any suggestion that Kimura is indebted to him, he's just reluctant to tell a parent about their child's bungles.

"saved Yuich's skin" の意味を調べます。 "save one's skin" の項目で次の説明があります。

・Oxford English Dictionary: save your (own) skin/hide/neck: to try to avoid death, punishment, etc., especially by leaving others in an extremely difficult situation
・Wiktionary: To escape without injury.: Boris Johnson has been accused of changing the ministerial code to help “save his skin” ahead of a new Partygate inquiry that could publish more photos and subject him to a public grilling by MPs.
・Merriam-Webster: to save someone : to help someone get out of a dangerous or difficult situation: He doesn't care what happens to us. All he's worried about is saving his own skin/neck.

"skin" の他に "hide"、"neck" が使われることがあるのですね。