Well the media stuff related to the Avengers, (there were SHIELD files or something with the DVD box set, or maybe it was the website) had Barton saying he was handpicked/recruited by Fury himself.
As for the Ultimate universe, Fury grabbed up Clint out of military prison while he was serving a life sentence for murder. SHIELD started as Fury and Clint, and a bar tab, while they tried to take down the Soviet Union (and apparently crazy ass Hank Pym who was dreaming up flying aircraft carriers while wasted on tequila) and he was godfather to Clint's kids and his youngest daughter was named Nicole after Nick before Widow killed his family, which Fury took really hard. Fury pretty much sees Clint as his go to guy when he needs something done. Hunt down Captain America when he has gone off the reservation, quell a superhuman revolution in South East Asia, steal nukes from rogue state, game plan scenarios on the big board because Reed Richards has gone insane and taken over Europe: Call Hawkeye.
Hawkeye is his boy, because Hawkeye NEVER misses, even if all he has is some shards of glass, or is throwing punches or has to rip his own fingernails out to use as projectiles (him with a gun pretty much sends the bad guys into a panic).
So if Ultimateverse is the basis for this Clint, which most of the creative team at Marvel Studios has said, then yeah, him and Fury are tight.
Re: Technology and communication
As for the Ultimate universe, Fury grabbed up Clint out of military prison while he was serving a life sentence for murder. SHIELD started as Fury and Clint, and a bar tab, while they tried to take down the Soviet Union (and apparently crazy ass Hank Pym who was dreaming up flying aircraft carriers while wasted on tequila) and he was godfather to Clint's kids and his youngest daughter was named Nicole after Nick before Widow killed his family, which Fury took really hard. Fury pretty much sees Clint as his go to guy when he needs something done. Hunt down Captain America when he has gone off the reservation, quell a superhuman revolution in South East Asia, steal nukes from rogue state, game plan scenarios on the big board because Reed Richards has gone insane and taken over Europe: Call Hawkeye.
Hawkeye is his boy, because Hawkeye NEVER misses, even if all he has is some shards of glass, or is throwing punches or has to rip his own fingernails out to use as projectiles (him with a gun pretty much sends the bad guys into a panic).
So if Ultimateverse is the basis for this Clint, which most of the creative team at Marvel Studios has said, then yeah, him and Fury are tight.