Oh, great idea
I'd love manual control over processes that take place in our body-cells

Imagine - to be able to drive around in your own mitochondrions

Although that wouldn't really be a new sense, I guess. It would be pretty cool, though. Hmm... that reminds me of stories about Indian healers who have supposedly gone inside their cells in dreams to rearrange faulty DNA or something like that.
Maybe sensing time in a different way would be a new sense. Sort of like the Tralfamadorians in Vonnegut's Slaughterhouse-Five:
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