"The right of no person to keep and bear arms in defense of his home, person and property, or in aid of the civil power when thereto legally summoned, shall be called in question; but nothing herein contained shall be construed to justify the practice of carrying concealed weapons." Article II, Section 13.
Colorado does have a concealed carry permit system, with permist issued by "chief of police of a city or city and county, or the sheriff of a county". The quote is from NRA-ILA, as is the Constitutional quote above. I'ts not clear from the NRA-ILA information if the carry permits are "Shall issue" or "may issue", although the law directs (shall) the local LEO to conduct a background info. Colorado Freepers should have more information.