Stairs are about our ambitions or where we’re heading. Climbing stairs is a metaphor of your fierce ambition and ability to face up to challenges in your life.
• More generally stairs are believed to be indicative of the bridge between different states of being. Going up suggests you’re developing higher levels of consciousness and awareness and going down suggests you’re losing that awareness or delving into the realms of your unconscious. Lifts and escalators have similar meanings.... The Premier in Dream Dictionary
These usually indicate how we deal with information.
For instance, a lift going down would suggest going down into the subconscious, while a lift going up would be moving towards the spiritual or cosmic concerns. In the sleep state we are thought to leave our physical bodies behind, so, descending in a lift and getting stuck suggests the potential to lose touch with spirituality, concentrating only on the mundane.... Dream Meanings of Versatile