You seem to be looking for CRM software with a billable hours module and accounting module?
SugarCRM is the most well developed open source CRM on the market:
http://sourceforge.net/projects/sugarcrm/
http://www.sugarcrm.com/crm/
community dev website: http://www.sugarforge.org/
Had billing, tracking, invoicing, sampling database add on s available... can sync to Outlook and mobile devices too.
Another option in open source software is Dolibarr:
http://wiki.dolibarr.org/index.php/What_Dolibarr_Do
Dolibarr doe NOT have accounting management yet...
Both Dolibarr and SugarCRM can be self hosted on a box at your location or you can contract out hosting services to companies who specialize in hosting those software suites.
But depending on the industry, there are lots of alternatives...
http://alternativeto.net/software/sugarcrm/
Without giving too much personal detail if you could better describe your needs I’m sure a Freeper or two can point you toward a better direction...
Thanks. A lot of the alternative seem to be web-based. I was wondering if you or others have experience working with programs of this type and their pros and cons.