Can you make it a game? It will take a while, but make it all part of a game somehow, clip one nail. Play the game some more, clip one. Hemi hates having his nail done so we have done a game where tug pull tug pin him down, clip, Oh heck what was that he takes off running. Come back I am sitting there with the toy, he starts playing again. However this also lends into Hemi's play style after some tugging he will roll over on his back with the toy.
He didn't mind when he was a pup, but as an adult he just hates it. I also sometime just get a handful of treats, really super yummy ones. Then the clippers I set both on the edge of the couch. Of course he is on the other side of the room. Staring at me, the treats, the clippers. Then I sit there reading a book. He will get up come over slowly, I set the book down grab the clippers. He pauses, sometimes he goes back to think about it. I wave the treats in the air, blow the scent his way. You can see his nose picking up on it. I pick up the book keep reading until finally he comes over and is like ok lets get this done. When he is done, big party, lots of treats and butt tucking and fun. I make it his choice to get it done here. I don't force him, I let him decide. He can't resist the treats though and they eventually win.