Clips these days are incredibly flat & light weight.
They've been improved because of so many women wanting temporary hair extensions.

They could be used along the sides & back perimeter, but there would be nothing to clip the piece to at the front, so you'd still need to use glues or tapes.

The clips themselves would not be visually detectable, but the piece may be more detectable unless it was a long haired style.
The piece would only be secure in the places the clips were, so in between you would be able to feel the edge of the base.

Overall, with the right hairstyle, I'd say clips could give you a good "look-but-don't-touch" kind of attachment.