...-- what are the risks to me? I've been approached by a guy who wants to buy my house for sale on a "Subject To" contract. What are the risks to me?

DudeHe might not get the money & the sale will fall through, wasting your time, efforts, & money.

That's very common. Basically, he has to apply for a loan. If he is turned down, then he gets his deposit back and the closing doesn't take place. Most real estate contracts for homes have financing contingencies ("subject to: clauses).