Same here, RP visa "under process" since 1 month, went to immigration a thousand times, i heard only "wait 1 more day" or "wait one more week, inshallah". Went to the captain, he said that the police is handling final approval, and i'm pretty sure my visa request form is burried underneath a ton of other papers, which will not be handled soon.

Sometimes, i feel like the absence of any concrete information in any government procedure in Qatar is because paperwork is handled by paranormal forces and no one knows when things will be done. First time i gave the papers, they told me it will take 3-5 days for the visa. Now, 1 month later, my wife already left her previous job and waits for a visa, without knowing when she'll come. This stuff is getting me really frustrated, no one is able to say any useful info.