In most cases, putting an offer in on a contingent home is an option to consider. Although it doesn't guarantee you'll close on the home, it does mean you could be first in line should the current contract fall through. Putting an offer in on a contingent home is similar to the homebuying process of any active listing.
You can still make an offer on a house labeled contingent or pending. However, when a property has one of these statuses, it means that an offer has been accepted, so the sale is in progress. The deal hasn't been finalized, so it still gives you an opportunity.
Contingent offers have higher rates of falling through and as a seller you very well run the risk of losing out on non contingent buyers.
It won't hurt anything to look at a house listed as contingent. Nor will it hurt to submit a backup offer, if possible. That said, you should anticipate the original contract going through to close.
A contingency clause should clearly outline the conditions, how the conditions are to be fulfilled, and which party is responsible for fulfilling them. The clause should also provide a timeframe for what happens if the condition is not met.
A home sale contingency is the highest risk and least common contingency clause. It is unlikely a seller will agree to this offer but if they do, their deal will depend on the buyer's terms.
Owners whose home is in contingent status can accept a backup offer, and that offer will have precedence if the initial deal does not go through, so if you like a contingent property, it makes sense for you to make an offer on the listing so that you are in position to buy if something goes wrong with that transaction.