IIRC Twitter already enforces a max-height on tweets (ever since they allowed line breaks). People may indeed copy/paste but it won't add to the visual noise in timelines, and relatively few people will click through anyway.
Sadly it is pretty common that someone copy & paste some witty tweet and get attention. There's even a service to discover that. In Japanese it is called pakutsui (pakuri (= plagiarism) + tsui (= tweet)).