Possible Clues:

• Long-tailed monkey
• Slender, Asian long-tailed monkey
• Primate's indolence, dismissing nothing
• Monkey's laziness — lowest possible score issued
• Long-tailed Asian primate; run gal (anagram)
• Long-tailed arboreal Asian monkey
• Long-tailed arboreal Asian monkey with a characteristic loud call
• Monkey showing fatigue, not getting round
• Primate's weariness, short of oxygen
• Primate (Archbishop of Canter-bury) going to biblical city