To quickly remove multiple conversations, tap the Edit button in the upper-left corner of the Messages screen, tap the unwanted conversations in the list to select them, and then tap the Delete button in the lower-right corner. You can get back some of your iPhone storage space by deleting old conversations and file attachments you no longer need. Additionally, if you never delete old conversations and attachments, you will see the Messages app begin to balloon in size, especially if the program is set to keep everything forever. You can also trash entire conversations right from the list on the Messages screen by swiping from right to left and tapping the red Delete button. Do text messages really take up that much room and how can I reclaim some of those megabytes?
Source: New York Times June 29, 2016 15:33 UTC