The "Dial" lever on the Kelvy is the timer. It's spring-loaded, cranks downward to rotate/set the timer cylinder. Then 'turn' the lever knob to the right (or left, I forget which) for on/off (equivalent to push/pull on a rotary timer). I remember once when Granny was actually using the Kelvy (she still had the 1950s Kenmore and was using both of them), she completely forgot how to turn the Kelvy on, how to turn the lever sideways. She called my dad, and he and I both talked to her, and we had a terrible time getting her to understand how to do it.
The timer is a cylinder with cycle markings that move across from left to right as it progresses.
The "Cycle" knob (load size) is on upside down.