* When it's used as an adjective: You might hyphenate "thank-you" if it's describing something, like a "thank-you note" or a "thank-you speech."
* When it's part of a compound word: You might see "thank-you" hyphenated as part of a compound noun, like "thank-you-giver". However, these are uncommon.
In general, stick with "thank you" as two separate words.