What with the high prices since the war started, we'll be made up if it lasts.
This sentence has been taken from an app of Oxford Dictionary. I had made a search to find the use of make. Then I got the sentence stated above. Please, discuss the construction of what with the high prices since the war started. I think What with high prices is a dependent clause. But I don't find any verb in it.
I want to say more about my question. Actually, I want to know if there are any kind of dependent clauses that do not have any verb. If there are, please state the rules about how to form a dependent clause without a verb. Also, I want to know whether or not what with the high prices is a dependent clause without a verb.
The sentence stated above is just an example. Please discuss about the answer to my question as well as the sentence stated above in your own way.