Investi-gator's Pocketwatch
Drops from Temporal Investi-gator. Borrow a from upstairs of the Eon's Fringe Inn (must have done her questline first), then use it near .
The 
Investi-gator's Pocketwatch is a toy dropped by the Temporal Investi-gator rare in Thaldraszus, spawned by interacting with a hidden clock after drinking an Infinitea.
Guide awaiting review
Complete Melly's Questline
Before anything else, complete Melly Teletone's questline. She is located upstairs at the Eon's Fringe Inn in Thaldraszus. Once her questline is finished, she will lend you a Melly's Metronographer+++.
Borrow the Metronographer
Return to Melly Teletone upstairs at the Eon's Fringe Inn and borrow the Melly's Metronographer+++. Then use it near Bartender Bob to unlock the ability to purchase an Infinitea from Bartender Blob.
Purchase an Infinitea
Buy an 
Infinitea from Bartender Blob. The Infinitea only lasts 30 seconds, so move quickly after purchasing it.
Drink Tea, Find the Clock
Head to Thaldraszus and drink your Infinitea. The interactable clock is located at the bottom of the waterfall at 54.6, 85.8 — not at the top. Search the bottom of the waterfall and use your interact key to find and click the clock object.
Defeat the Temporal Investi-gator
Clicking the clock spawns the Temporal Investi-gator rare at 54.6, 85.8 in Thaldraszus, which has approximately 3.5 million HP. Defeat it for a chance at the Investi-gator's Pocketwatch.
