DR Harris make a "Classic Cologne" which is basically a very nice British-style cologne with a dominant lime note instead of lemon. A lovely pick-me-up frag.
Truefitt & Hill's "West Indian Limes" is also a nice, if a little brief, classically-styled Lime cologne, but it's quite sweet - like the lime note in Old Spice Lime. Trumper and Taylor of Old Bond Street both make a lime cologne too, but these are more realistic interpretations of limes, IMO.
I prefer the Harris, personally. Relatively cheap, and not bad longevity for a lime cologne - around 5 or 6 hours.