Cream cheese and chive is the herb member of the tea-tray cream-cheese family, and it is defined by a single partner working against a spread that is doing structural duty. Chive-flecked cream cheese is taken to the edges of soft white bread, and that is the sandwich. The cream cheese carries the flavour and also does the structural work: it is the mortar, a thick, cohesive layer that both binds the slices and waterproofs the crumb, and the chive is the one note set against it. Folded through rather than scattered on top, the chive gives a rich, plain spread a thin green onion lift in every bite. Take the chive out and you have a cream cheese sandwich, which is mild to the point of saying nothing.
The craft is the spread and the restraint of its single partner. Cream cheese is structural in this sandwich in a way butter is in others: spread firm and even to the edges, it seals the bread against itself and holds the build together without a second binding agent, so its thickness and evenness are the whole mechanics. The chive is cut fine and used in a measured amount, enough to read as a clean allium note, not so much that it turns a delicate sandwich sharp, because the appeal here is gentleness and the herb is there to keep gentleness from going flat. The cheese is at a spreadable temperature so it lays down smooth rather than tearing the soft crumb. The bread is white, plain, and soft because the filling has almost no texture of its own and an assertive crust would have nothing to work against. Cut crustless and small for the tea tray, it depends entirely on the cheese being spread well and the chive being restrained.
The variations are the rest of the cream-cheese tea shelf, each defined by the single partner set against the same structural spread. Cream cheese and cucumber sets a cool, water-crisp slice against the richness; cream cheese and smoked salmon brings a cured, oily fish; cream cheese with walnut or celery adds a dry crunch instead of a herb. Each deserves its own article rather than being crowded in here.