I can't see it happening any time in the near future. Argentina is even more bankrupt than the UK. IF they are going to do it, now is the time while we are fighting wars in other parts of the world.

However, bankrupt we think we are, the UK still has the 4th largest armed forces in the world (Only the USA, CHina and Russia have larger armed forces or spend more money on armed forces than we do), Argentina knows that and knows that it won't be able to compete with an overstretched British forces.

I also doubt Argentina will get any support, apart from the usual mad dicator Latin American countries. China won't get involved because it needs trade with the UK more than it needs trade with Argentina, and Spain won't be much use to them anymore, they're going down the same road as Ireland and Greece.