You can install it, but I wouldn't run it with all the other admin plugins at the same time.
Clanmod is most like amx mod, so there could be some conflicts there. Adminmod should be fine to run with clanmod, but I have never tested that myself. Clanmod was created, then that project was stopped and the developers (main on OLO) moved on to create AMX. Later on a few people continued on clanmod for a short period of time under http://www.unitedadmins.com
where it is now discontinued.
If you still want a somewhat supported admin platform thats like clanmod, it would be your best choice to use amxmodx 1.01 (http://www.amxmodx.org
). It has a good community and wide assortment of plugins. The key thing to consider in selecting admin plugins is the support, its plugins and how old it is.