it means stay the course no matter what.
chive on refers to the mutual understanding between chivers on how to go about life, regardless of all the assholes, douchebags, posers, etc, who might **** it up from time to time.
it's also stronger in the sense that it unites people who share similar opinions or tastes or those who just like to see crazy **** as it happens - it's an underground social network, a family
also, chive doesn't reference green at all. it's the combination of chicago with venice beach (chi)cago-(ve)nice - it's where the 2 initial guys are from.