Actually...
Actually, Sinclair Research had been tinkering with a portable machine (codename Pandora) with one of Clive's pocket-tvs slapped on top as the display. Unfortunately, the various self-inflicted disasters at Sinclair (the QL, the C5, etc) killed any chance of it being released.
(similarly, the proposed "super-Spectrum" Loki never made it past the planning stage - though at least some of the technology wound up in some arcade machines, the Konix Multisystem and ultimately into the Atari Jaguar...)
In any case, Sir Clive carted the Pandora IP away with him when Amstrad bought out Sinclair Research and used it as the basis for a portable machine called the Cambridge Z88, which was released in 1987.
http://en.wikipedia.org/wiki/Cambridge_Z88
For the time, it was an amazing piece of kit - just 0.9kg and roughly the same size and shape as a thick A4 magazine, so easily tucked into a briefcase or carried under one arm, unlike the "luggable" 10kg of a Commodore SX or the Osborne 1. Better yet, it delivered 20 hours of use on a single set of AA batteries and included a capacitor to keep the internal memory warm while you swapped the batteries over. Perfect for a plane or train...
Sadly, it remained something of a niche product, but it is fun to ponder what could have been if Sinclair Research had put more effort into quality control and spent less time on ideosyncratic gadgets such as the C5 and Microdrive systems...