Possible Clues:

• A snooze outside 'e gets between each spring?
• Tide with least fall and rise of water
• With 35 Down, semimonthly event
• Half moon tide
• The half-way kind of tide
• There's no spring tied in it, by the sound of it
• Tide of smallest rise and fall
• Spring tide's counterpart
• Quarter-moon tide
• Like some tides