Unless I am sadly mistaken, it is Oecussi Festival time. This coming weekend is a long weekend (ie Timorese public holiday on Friday) so it ought to be the big weekend for this festival. Google has failed to come up with any more information than that. I understand that the Nakroma (ie Dili-Oecussi ferry) has a few maintenance issues at the moment and may be out of action which is really good timing for the festival.
So if you come across Dr.Who in your travels, hijack the Tardus and get along down to Oecussi for an old fashioned Timorese knees-up. There is also the Oecussi races down by the sea on a track that gives the Dili Tasi Tolu track a run for its money – as do the Oecussi horses I am told. Be prepared for some rustic “tau osan”. Oecussi is pretty much BYO.