Can you use spells to move units from Vilemaw's Lair to base?

Ruling: No, you cannot use spells to move from Vilemaw's Lair to base. "Can't move" includes standard move and any other move actions including ones instructed by spells and abilities.

Nuances:

• Units can be recalled from Vilemaw's Lair because a recall is not a move
• You can move to other valid locations besides base (such as ganking)
• Ways to get out of Vilemaw's Lair: gank, die, recall, banish
• Combat with stunned units or Kayn counts as recall, so units would get out
• There is ongoing discussion about whether you can use effects that would move units outside of Vilemaw's Lair (they may be playable but do nothing on resolution, though this is not rigorously defined)