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1.
To spend time putting together puzzles.
I asked Melissa if she wanted to get together after work but she acknowledged that she and her friends would be puzzling all night. I was surprised that someone so young and good looking spent time working on puzzles.
by Victoria Skyles November 17, 2009
 
2.
adjective. The person sat puzzling (Not knowing whats going on.)
The lady sat in the corner puzzling. She was completely puzzled. It was too funny
by Nick Greetham (GFunkRizzla187) August 20, 2011