When comparing Timeneye vs Quire, the Slant community recommends Quire for most people. In the question“What are the best tools to organize your work with?” Quire is ranked 5th while Timeneye is ranked 8th.
Ranked in these QuestionsQuestion Ranking
Pros
Pro Straightforward, reliable and portable
Great for small businesses and freelancers as it is easy to use on both a webpage, Chrome plugin and on mobile.

Pro Data export
CSV and PDF. Entries can be used with other data visualization tools.

Pro Interactive reports
By institution and by project, weekly and monthly, without time limitation.

Pro Well priced
Plans range from free for one user to $159 a month for 100 users. There should pretty much be a plan for any user size one want, which makes it pretty affordable as the package necessary for one team size is all that needs purchased.

Pro Simple and well integrated
With easy integration into things like Google Calendar or Trello users will not have to spend much time setting up this time manager into their workflow.
Pro Smooth interface and complete management functionalities

Pro Basecamp integration
If you already use Basecamp, you can track time on Timeneye by commenting on Basecamp to-dos with the time spent
Pro Cross platform, sync and offline usage
Pro Organizations, projects, task, hierarchical subtask and smart folders
Unlimited tasks/todo structures
Pro Integration with calendar and github
I haven't dabbled with that though
Pro Multiuser handling
Handle multiple users and assignments
Pro It is free
As of now, at least.
Cons
Con No start and end times
Con Very slow
You have to wait seconds after every single click. Waste of time.
Con Free only for one person
Monthly fee if used by more than 1 member of the team. Then it's very expensive at $29 per month.