Possible Clues:

• The buck stops here
• Quick internet lookup that somehow leads to two hours of reading about the Shmoo, for example
• Bizarre, hard-to-escape situation
• Teacher has to stand in some places visited by Alice
• What 29-Down went through
• Literary girl after a bun downed it in a dream
• Teacher comes to fancy hotel -- a place for buns
• Way into Wonderland
• Access to 54-Across
• *Way into Wonderland