Clue: Linger half-heartedly, concealing irritation with needlework (8)
Answer: TAPESTRY
Explanation: Definition: needlework

**TA**(r)**RY** ("linger" with its *heart* (middle letter) removed) concealing PEST ("irritation")
 
*Half-heartedly doesn't work in this clue, as it indicates removing one of two middle letters. In this clue we're being asked to remove one of three middle letters.