In a medium sized bowl, beat the cream cheese, mayo and salt together. (Use a handheld electric mixer or a stand mixer for this part.) Fold in the herbs.
Partially peel the cucumber using a vegetable peeler. Run the peeler down the length of the cucumber, then leave a section unpeeled, and alternate around the cucumber.
Slice the cucumber thin.
Spread the cream cheese mixture onto the bread. Layer the cucumbers onto half of the bread slices and top with the other slices of bread. Cut the crusts off. Cut the sandwiches into quarters, triangles or rectangles.