Japanese Lesson:

Han=半=Half.

Ji=時=Hour

JiHan=時半=Half-Hour.

Ergo, Tantei-han could translate to Half-Detective.

...

"Ya know," Hattori observed, "KID calls meh 'Tantei-han,' but if anythin' shouldn't you be Tantei-han?"

Conan's brow furrowed. "No, why? He calls you that because 'han' is a common pronunciation of 'san' in Kansai dialect."

"I know dat, but between da two o' us, you're the one dat's only half a detective."

Heiji laughed before receiving a sharp retribution-kick to his shin.

...

A/N: Japanese pun. If you don't comprehend my lesson, you won't understand. If you understood, lemme know! I liked this, but it's kinda wasted on non-Japanese-speakers. *Sadness*