Lost mine last night, anyone know if its possible to get replacements? Can't find any on the web.

They are not yet available and even the standard Sony 49mm (19.95) is out of stock at B&H so why not order an el-cheapo 49mm for temporary protection.

http://www.bhphotovideo.com/c/search?Ntt=49mm+lens+cap&N=0&InitialSearch=yes&sts=ma&Top+Nav-Search=

Dave

Dang, guess I will just have to wait until sony releases one. I have some cheaper 49mm ones laying around but the metal one was super nice.

Take more photos, you will need a lens cap less. ;-)

I just lost my lens cap as well Do all the 49mm lens caps fit on the RX1?

I'll answer my own question - yes, the 49mm lens caps all fit the RX1. I got this one
http://www.bhphotovideo.com/c/product/111306-REG/General_Brand_49mm_Snap_On_Lens_Cap.html

Update: this one works fine on the RX1 and is very secure, but it is difficult to operate with the lens hood. For compatibilty with the lens hood, get a center-pinch lens cap.

Update - Only the 49mm lens caps that are secured against the inner diameter of the lens, such as the snap-on lens caps, will work on the RX1 The 49mm lens caps that are secured against the outer diameter of the lens, such as the push-on lens caps, DO NOT WORK ON THE RX1.

Update - I recommend you get a 49mm center-pinch lens cap, like this one:
http://www.bhphotovideo.com/c/product/807036-REG/Sensei_lc49_49mm_Center_Pinch_Snap_On.html
The clip-on/snap-on lens caps are very difficult to operate with the lens hood.