Amos the Powerful provides you with an Entry Solution once every 6 time offered you carry him 10 Lip-Lock Keys. Lip Secure Keys are obtained by beating the unique creatures discovered in Purplewood Woodlands I & II. However, you cannot have more than 1 Entry Solution your ownership.
Be sure not to go within before you have a complete celebration. Once within your ticket disappears, and if you keep you spend a ticket and you're trapped for another 6 time.