Resurrecting this old thread since it's the first thing that comes up in a search for "Olympus 12-45 underwater", and I think this info is valuable. While looking closely at the AOI port chart, I noticed that they show two options for this lens- one is a PEN mini-dome intended for the 9-18, the other is a larger OMD dome that would require the OMD to PEN adapter for PEN housings like my AOI EMIII (they also show the OMD dome as a path for OMD housings), and they list two different zoom gears, depending on PEN or OMD port. Since I got the housing last year, I've used a 170mm Inon dome for the 12-40 with the PEN-OMD adapter; it's effective, but clunky and bulky with lots of steps to remove the camera.
As I'm pretty cheap (I know, wrong hobby), I was curious if I could make the 12-45 work with my small Inon PEN dome for the Olympus 8mm fisheye. The lens trombones out enough that it bumps into the glass at about 40mm, but I also happen to have an AOI 34mm PEN port extension- it fits perfectly. Even better, testing in a tub out in the backyard shows pretty good performance at 12mm, 28mm, and 45mm- each tried out at f4, f5.6, and f8. There was a very small bit of corner softness in some of the shots, but I think part of the deal there is that the camera wasn't completely square to the subject. Also, focus was slow at 45mm- could be because of the shadowing, but it also could be expected for the lens or just my particular copy that I acquired used.
As you can see from the images, my testing was pretty cursory but this might be a pretty good one port option for those with a dome for the 8mm- an extension ring takes up a lot less room than a second dome while traveling, and I would be bringing the ring anyways as it's part of my macro set up. Oddly, I rarely dive with the 8mm but when I got the housing immediately after it was released, the OMD-PEN adapter was just rumored so I thought it would be the only viable wide angle solution (I'm not a fan of the 9-18 or Panasonic 7-14). I've also tested the Panasonic 9mm f1.7 in the same Inon dome- it works, but not well- the corner softness extends about a quarter into the frame, and only marginally improves when stopped down. When I was shooting with the M1mk1 / Oly housing, my wide angle preference was the Panasonic 8-18 in the Inon 170mm dome- it worked great, but my Deepshots zoom gear won't play nice with the OMD-PEN adapter zoom arrangement as-is; I think if I cut the gear down it might work with the bigger dome but I haven't got around to it yet. I also tried the Oly 8-25; it's a great lens topside but it did not work with the Inon 170mm dome and, frankly, the AOI 8" plastic dome isn't much better if your composition has stuff in the corners.

