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No. The informal term "teeny" means tiny and is an adjective. Tiny has the practically unknown adverb (tinily) but not teeny.
I had a teeny cup my mom gave to me for Chrismas.
Teeny Shiny was created on 2000-12-12.
Teeny Ted from Turnip Town was created in 2007.
The duration of Teeny Little Super Guy is 180.0 seconds.