
Artifact
: Look at the top three cards of your library, then put them back in any order.
: Draw a card, then put this artifact on top of its owner's library.

Top-deck manipulation that swaps hand for library top, pairing with Top.

Cheap card draw that synergizes with library-top reordering.

Buyback scry-like top manipulation for control.

Repeatable library manipulation and shuffling effect.

Sets up a card on top to draw next turn.

Card advantage engine that benefits from top-deck control.

Cheap repeatable scry-2 top manipulation artifact.

Top recycling enables storm-style draw loops, similar payoff.
Sensei's Divining Top's second ability may be activated in response to its first ability. If so, you'll draw a card, put Sensei's Divining Top on top of your library, and then look at the top three cards and rearrange them.
If Sensei's Divining Top leaves the battlefield while its second ability is on the stack, you'll draw a card and leave Sensei's Divining Top in the zone it's moved to.