Should we assume you are talking about grafting tomatoes? If so, the clips should be a lot quicker and easier to use, not to mention much easier to remove.

Yes, I want to try grafting tomatoes (and other nightshades as well.) I just wanted to ask if there were any advantages to using tape. Thank you.

What would be best for grafting apple trees?

Definitely, tape for most apple tree grafts. Tape is more secure. Tape is useful in preventing dehydration of the scion material. The tension, or clamping force, is determined by the grafter, when using tape. And finally, tape can be formed to various shapes and configurations for various types of grafts.