Tasks getting stuck is, most likely, a bug. At the moment (<= 1.9.0alpha1) it can happen when a task cannot even start up on the (remote) worker. This happens for example in the case of an overloaded worker or missing dependencies.
This patch should resolve that issue.
It is worth investigating why your tasks do not get a RUNNING state. Setting itself to this state is first thing a task does. Normally the worker does log before it starts executing and it also reports and errors. You should be able to find entries of this in the task log.
edit: As was mentioned in the comments on the original question in case one example of airflow not being able to run a task is when it cannot write to required locations. This makes it unable to proceed and tasks would get stuck. The patch fixes this by failing the task from the scheduler.