In fact, he was having so much fun he forgot all about our interview.
''I'm standing in the turret at the [Larnach] castle. The view here is incredible,'' he said when he finally rang me at dusk, from across the harbour.
''It's really beautiful here. It's my first time in New Zealand and I didn't know what to expect.''
The 48-year-old film actor, director and screenwriter, recording artist, publisher and author - described as ''one of the most beguiling and intense actors of his generation'' - is known for his eccentric roles, such as George McFly in Back To The Future and Andy Warhol in The Doors.
He brings his acclaimed Big Slide Show and Films - Part 1 and 2 to the Fringe tonight and tomorrow night.
The first segment features dramatic readings from a series of picture books Glover produced between 1982 and 1992, which he reworked from 1880 publications, such as the 1896 non-fiction guide Studies in the Art of Rat Catching.
''I narrate eight different books in about one hour. They're heavily illustrated and projected behind me.''
The reading is followed by one of the provocative and challenging 35mm films from his uncompleted ''It'' trilogy; It is fine! Everything is fine! tonight and What Is It? tomorrow night. The two films are part of a trilogy which Glover is in no hurry to conclude.
''Not for a long time. I've been working on the trilogy for 15 years now and need to step away for a bit.''
Then he is gone. Off to look for penguins and kiwis.
Crispin Hellion Glover's Big Slide Show and Films - Part 1 and 2 is on at the Red Lecture Theatre at 7pm today and tomorrow. I popped into the Playhouse yesterday to see the wonderful, original New Zealand fairy tale The Road That Wasn't There.
''It's about a girl who walks down a paper road on a map and finds herself in a paper world. It's quite dark, but not too dark, like Margaret Mahy or Tim Burton,'' performer Ralph McCubbin-Howell said.
I loved how the Fringe gatecrashed the iD Dunedin Fashion Show last night. The Blue Oyster Gallery's Yellow Men (Jed McCammon and Clarke Hegan) have been reinterpreting performances from last year's Fringe and restaged Frocks on Bikes for Dunedin's big fashion night.
The pair spent the evening cycling back and forth between the Octagon and the railway station in a variety of ever-changing yellow outfits.
The looks on the faces of some of the fashionistas was gold.
I'm looking forward to seeing artist Lew Walsh reveal his exhibition of Dunedin music identities, ''Ex-Cons and Icons'', in the Community Gallery at 2pm today. Heads in on the act include Stephen Kilroy (Stephen, Heka), Chris Knox (Toy Love), Shane Carter (Straitjacket Fits, Dimmer) and Tristan Dingemans (HDU, Mountaineater).