1. What does it mean?
짬처리 can refer to finishing leftover food, and figuratively to getting rid of unwanted work or items by making someone else handle them. The context determines whether the speaker is volunteering or complaining about being burdened.
Also written or said as jjamcheori
2. The nuance
The figurative use often implies an unfair handoff. It is rough casual language, not a neutral synonym for any reasonable division of work.
3. Examples
“남은 반찬 짬처리하려고 볶음밥을 만들었어.”
I made fried rice to use up the leftover side dishes.
“어려운 일만 나한테 짬처리하는 건 곤란해.”
It's a problem if you dump only the difficult tasks on me.
Sources
References support the meaning and usage. Example sentences are written for NoCapWiki.