I'm too lazy to look it up right now, but I think you can continue to build on the road, BUT if they put a settlement at the end of your road you can't continue to build.
E.g. if [x] is your settlement, [o] is an opponent's and = is a road:
[x]==[0]= <-- you can build another road here
[x]==[0] <-- you can't build another road
Comments
It definitely splits a longest road but does it obstruct you in building further?
I'm too lazy to look it up right now, but I think you can continue to build on the road, BUT if they put a settlement at the end of your road you can't continue to build.
E.g. if [x] is your settlement, [o] is an opponent's and = is a road:
[x]==[0]= <-- you can build another road here [x]==[0] <-- you can't build another road
See here:
http://www.catan.com/faq/4624-roads-may-roads-i-build-go-thr...