Possible Clues:

• Sleep
• 'Enjoy the honey-heavy dew of ___': Shak.
• Drop off small logs
• Rest seconds beside wood
• Doze
• Seems you're not awake to the wood of the South
• Rumbles (anag.)
• Rumbles in it - or snores, maybe?
• The rest of the wood comes on Saturday or Sunday
• The rest of the wood coming from Sweden