To put your a** in a sling - precisely

If you know, please tell me what does it mean? thank you in advance.

Here in the NE part of the US of A the phrase means to stay out of trouble as in:
"I just started this job and I will show up on time so I don't get my a** in a sling."

No. To put your a** in a sling is to put yourself
in trouble, not put yourself out of trouble.

Yes, and that's exactly what Bruce's example showed.