I've had a clogged milk duct twice now: about a month ago, and yesterday/today. It's miserable! It was too painful to have him eat on that side, so I pumped about every two hours and I put a heating pack on it the rest of the time (this includes during the night...Zzzzzz...soooo tired...). I also popped the ibuprofen whenever I could and drank lots of water and massaged the area, which is all pretty textbook for relieving clogs.
Nothing happened though! Almost nothing would come out when I pumped, and there was no pain relief. This morning I took a nap with a heating pad on it, and thanks to some advice, let Joshua eat from that side again.
Immediate relief! I've decided to rename Joshua...Drain-o.