I have been waiting 9 weeks for a replacement V5C. Only last week did the DVLA e-mail to ask for photos and the VIN nu
Yes, if you can apply online the service is good. Unfortunately there are circumstances which force you to apply by post rather than online (the vehicle details have changed or you didn't get a V5C when you bought the vehicle), then the process takes weeks rather than days.
I lost the V5C for one of my vintage cars which I have sold -- new buyer was happy to take a written receipt from me in the meantime. I applied for a replacement document by post (tried online, wouldn't work) and after 9 weeks of nothing, I finally got an e-mail from them asking for pictures as well as the same details I'd put on the form. I responded 2 weeks ago and have heard nothing back, so on this example it's taking them 11 weeks and more. Granted there may be a discrepancy between something they have and something I provided, but 11 weeks is ridiculous.