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Proposed patch moves CallTips tests from Lib/idlelib/CallTips.py to Lib/idlelib/idle_test/test_calltips.py and converts them to unittests.
Private keyword-only parameter _namespace was added to fetch_tip() and get_entity().

It is a good idea to make this a separate patch;-). Will look carefully after sleep.

The existing tests in CallTips.py, half of which I wrote based on the ones that existed, have one or two deficiencies that are copied in the patch.
First, they are not proper unittests. They test get_argspec indirectly by calling .fetch_tip and get_entity. This lead to the new private parameter, which will not be needed for the existing tests when get_argspec is called directly with objects.
Adding more tests for get_entity, beyond the one in test_calltips.py already, is a different issue. The function is mostly a wrapper for eval(), which we may assume works correctly.
Second, the doubling resulting from putting expected output in docstrings seems a bit flakey. It certainly does not test cases with no docstring or multiple-line docstrings.
I am working on a revised patch. (Also, the unittest call was added with test_calltip.py and I want it left.)
In 2.7. get_argspec is get_arg_text, with a different implementation. Backporting to 2.7 will require some adjustments.

Attached patch moves all tests, changed (and simplified) to call get_argspec directly. I will apply after I get tk 8.6 to test with 3.4.

Attached is patch for 2.7 with all tests passing. 3.x get_argspec cannot replace 2.x get_arg_text because it uses inspect.getfullargspec, which does not exist in 2.7. (Its use made the code simpler.) Besides minor changes in test_calltips.py, I made 3 changes to get_arg_text() to get tests to pass.
1. Stop deleting first parameter for unbound methods (bugfix).
2. Replace class instances with __call__ methods (bugfix).
3. Change tip for def f(*some_name, **other_name) from '(..., ***)' to '(*args, **kwds)'. 2.7 either does not keep the dummy names, which anyway cannot be used when calling , or the current code makes no effort to retrieve them.
My reasons for 3. are that the replacement is a) the current convention everywhere else, b) more like the corresponding 3.x tip (which has the exact names), and c) more indicative of what one actually writes in a call.

New changeset f6f2d9d04cd0 by Terry Jan Reedy in branch '2.7':
Issue #20122: Idlelib: Move tests in 3.x CallTips.py to test_calltips.py.
http://hg.python.org/cpython/rev/f6f2d9d04cd0
New changeset 7befcc353d40 by Terry Jan Reedy in branch '3.3':
Issue #20122: Idlelib: Move tests in CallTips.py to test_calltips.py.
http://hg.python.org/cpython/rev/7befcc353d40