Make a new connection with

• Draw on again
• Repeat a bugging job
• Go back to an old source
• Mend shoes, in a way
• Put another hole in the keg
• Draw upon again
• Put another hole in, as a keg
• Put another hole in the cask

Wiktionary Word definitions in Wiktionary
vb. (context transitive English) To tap again (in various senses).