Here are some pun-based names incorporating "Monk," "Jackie Chan," and the character name theme, aiming for a variety of tones:

Humorous/Silly:

• Monk-ey Business (referencing Jackie Chan's comedic style)
• Chan-ge of Pace (Monk's life changes)
• The Shaolin Showdown (combining martial arts and Monk's setting)
• Jackie's Chan-ce Encounter (a chance meeting)
• Kung Fu-nny Business (combining martial arts and humor)

Clever/Witty:

• The Zen Master's Gambit (referencing Monk's wisdom and strategy)
• Chan's Enlightenment (a play on Chan's name and spiritual themes)
• The Illuminated Fist (combining martial arts and spiritual enlightenment)
• The Dragon's Wisdom (referencing Jackie Chan's films and Eastern philosophy)
• Serene Strikes (combining calmness and action)

More Abstract/Mysterious:

• The Silent Monk (referencing a quiet, observant character)
• The Shadow of the Dragon (referencing Jackie Chan's persona)
• The Way of the Fist (referencing martial arts philosophy)
• The Hidden Temple (referencing a secret location)
• The Unseen Hand (referencing a mysterious force)

Names incorporating both Monk and Jackie Chan:

• Monk Chan's Quest (combining both names)
• Chan's Monk-ey Business (combining both names and humor)
• The Monk and the Dragon (combining both names and themes)

These are just a few examples, and many more variations are possible depending on the specific nuances desired. The best choice will depend on the context and the desired overall effect.