What font resembles this Amy Tangerine font for Silhouette

The thickers use Kal Barteski's script. She had some font downloads on her blog - hopefully the link still works

This type of brush font is not really a font at all, but 'handpainted' or calligraphed originally as a piece of art. Each letter intricately weaves together with the other, creating an attractive unit. If you look at the letters you can see that the same letter (like the letter 'a' for example) looks different in different words. I downloaded the fonts on Kal's website to check them out, and although they are fun and quirky, putting them together will not give you the same look as the original image you shared.

There are only a couple of ways you'll be able to get the word art to say what you want it to, and look like that for your cut files:
Pay one of the calligraphy artists to create the word art you wish, and have files made from the image, or
learn to do it yourself to get just the look you want.

If you just want chunky, handpainted letters as a font, and you don't care if they link together the way the word art above does, then Kal's fonts will work just fine. They are very cute.