There's nothing unnatural or overboard about your daughter's attachment. It sounds like she's having her first experience of being separated from you for any length of time, and even an hour is an eternity to an 8mo baby. Especially if she's feeling anxious or bereft. She doesn't yet know that you still exist when you're out of sight. And if the weaning is still in process, or is only recently finished, she's going to be missing that for awhile, too. That's a lot for a baby to process.
You might be able to counter her clinginess by taking the initiative. Scoop her up and snuggle like crazy for as long as you possibly can when you get home. Then take as many over-the-top snuggle breaks as you can during the rest of the day. This will reassure her that even though you are gone, your love for her is still solid. You are her emotional and physical anchor, and she doesn't have the reasoning or the language yet to form any clear ideas about your absences. She primarily runs on feelings at 8mo.
Don't worry that your attention will spoil her. When her cup is full, she will want to be put down so she can do other things. The more secure she feels about your loving presence in her life, the sooner her cup will fill.
There's no way to predict how she'll react to other daycare providers. Partly, that's a matter of chemistry, partly her personality, and partly whether you'll be able to take her for a relaxed introductory session or two. If possible, hang out for 15 minutes or so for a day or two before you have to leave her so she can become acquainted with the surroundings and the caregivers.
She will probably still cry when you leave her, but emotional trauma will be less likely. Good care providers will be able to coax her past the drop-off crying. And she will probably really need your loving reassurance for awhile when she's home with you again. It's completely normal.