Is there a way to keep track of which user did git clone, pull and push from which ip address from a remote git repository?
If not default git then is it possible with gitolite or other similar tool?
Typically, gitolite can keep this role (Git alone does not provide any auditing function)
The ~git/.gitolite/logs folder will include logs of events, including clone, push, pull.
See "4.4 gitolite files and directories".
Other Git repo manager like GitLab does support audit events, but that would be only the EE (Enterprise Edition), not CE (Community Edition).