I use this word a lot, it's very British! When referring to a person, it usually means the person seems untrustworthy or even criminal: "That man looks a bit dodgy" When referring to objects, it can mean fake or fraudulent, or sinister: "I just received a dodgy email from a stranger who asked for my credit card details!". Or just generally bad, for example if you suspect you failed an exam: "hmm that exam was a bit dodgy..." It can even be used to describe food that is going bad: "This milk smells a bit dodgy" Also, for your question: What's mean the expression: That’s quite dodgy? because I headed some times. I would say: What's the meaning of the expression: That's quite dodgy? I've heard it a few times.