A chick that is chirping non-stop probably has health issues. The fact this chick is stunted also indicates it probably has genetic problems that are causing a "failure to thrive" condition.
Pasty butt, constipation, malnutrition are common in these chicks. You need to monitor its poop to identify these issues and treat it. Watch how much it is eating, and if it's not interested in eating, you may need to offer it some other form of food. Poultry Nutridrench can sometimes turn a sick chick around. It's worth a try.
Letting a chick "cry itself to sleep" does nothing to resolve its issues. If the chick had a simple fixation on you and just needed attention, it would only chirp when it sees you, and stop when you leave its sight.