Hi!
How often is the WDQ api really being updated? Is it possible to query wikidata live, with WDQ and if not, are there alternatives that would allow this?
We currently have SPARQL query service in beta[1], which is updated constantly from Wikidata. Note that since it's beta it is not stable yet both operationally and data-model-wise, so please be aware of this, also it has timeout limits that won't allow you for now to run queries that are too complex. But if you want to check it out and see if that fits your use case you are most welcome.
[1] http://wdqs-beta.wmflabs.org/