Well, this being
July 3 there aren't many people around my university to ask today.
My colleague who was raised in Los Angeles says Saw-yer.
My colleague who was raised in central Illinois says Soy-er. However, this is obviously one of those differences that is hard to hear for people who aren't linguistically trained. I was sure she was saying Saw-yer myself even though she believes she says Soy-er. Don't know if that's more her mouth or my ears; probably a combination of both. :)