e-angielski.com

to be in a tight corner - to be in a difficult, threatening, or embarrassing position - znaleźć się w trudnej sytuacji;
eg
He quit without giving notice and now we're really in a tight corner.
I'll be in a tight corner unless I buy a new car.

to drive sb into a corner - przyprzeć kogoś do muru;

to hold or fight one's corner - to defend something that you believe in by arguing. - bronić własnej pozycji;
eg
You'll have to be ready to fight your corner if you want to make your wife to look for a job.

to cut corners - do something in the easiest or least expensive
way often harming the quality of your work - (financially) - robić oszczędności; (in a procedure) iść na skróty

to paint or box oneself into a corner - If someone paints themselves into a corner, they get themselves into a mess - zapędzić się w ślepą uliczkę