We design and sell computer software to other businesses, with a goal of improving team collaboration. Our work encompasses areas like document management, project/issue tracking, and so on.
The name is taken from the Spanish word "cenote", which is an inland watering hole (see Wikipedia/Google Images/etc), most frequently associated with Mexico. I dream of a cenote as the perfect oasis: a mythical swimming hole filled with beautiful clear water, surrounded by a lush green forest.
While the above describes the inspiration for the name, the logo need not necessarily represent a cenote (although it certainly can!). There is also nothing wrong with designs based on the stylized letter "C", but I am interested in seeing variety beyond that too. Some general concepts that you may be able to use: people working together, and/or networking (not too literal for these though), speed, efficiency.
The vast majority of our customers reach us online, so the web is where we will have our primary brand presence. Logos that still render well in smaller sizes might be helpful in this context.