A 'place to get stuck' can refer to a difficult situation or a literal location. The two crossword solutions for this term are RUT and MIRE. A RUT is a groove or track made by the repeated passage of a wheel or animal, and it can also be used figuratively to describe a boring, unchanging routine. A MIRE is a swampy or boggy area, often with deep mud, which can make it difficult to move through. Therefore, both of these terms can refer to a literal place to get stuck, as well as a figurative one.