Ooh this would work really well--albeit slowly--with Stonebinder's Familiar (I'm a jank player what can I say?), but honestly I love regularly scheduled blink effects like this. The shenanigans that can be had from this are innumerable.
So, any artifacts that might become broken if you get to tap them twice as often?
Nothing really "broken" - but look at unwinding clock for effects that are good. Honestly what you would be looking for is enter the battlefield effects for a card like this. Things like arcums astrolabe will give you a draw each turn. Digging into commander territory - and on color archaeomancer's map is fun.