Hi!
(A Practical English Grammar - Thomson, Marinet): An action which began in the past and is still continuing or has only just finished can, with certain verbs, be expressed by either the present perfect simple or the present perfect continuous. Verbs which can be used in this way include: expect, hope, learn, lie, live, look, rain, sleep, sit, snow, stand, stay, study, teach, wait, want, work.
But I think that when we use watch as a voluntary action (not as a verb of the sense) we can use both tenses for a still continuing action but I'm not sure because I'm not a native speaker.
To use the Present Perfect Continuous is better...![Smile [:)]](/emoticons/emotion-1.gif)