Step 1Peel the cucumber, leaving only the thinnest strip of green on 4 sides. Grate very fine into a glass bowl. Scrape the mixture into a sieve set over a clean bowl and press out as much juice as possible. Squeeze with paper towels to dry completely.
Step 2Place the cucumber in a clean bowl and add the green onions and cream cheese. Mix with a wooden spoon until thoroughly blended. Add enough mayonnaise to make the mixture easily spreadable. Season with salt to taste. Spread on crackers or toasts, or use as a sandwich filling.