Yes, mugger is a Scrabble word!
...and is worth 10 points in Scrabble, and 14 points in Words with Friends
mugger
Noun
1. A robber who takes property by threatening or performing violence on the person who is robbed (usually on the street)
What Scrabble words can I make with the letters in mugger?
5 Letter Words
4 Letter Words
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3 Letter Words
2 Letter Words