The eucalyptus in dreams stands for the symbolism of security and protection, therefore if you see the eucalyptus in a dream, then it means you are looking for some shelter.
Dream dictionary: eucalyptus dream meanings
Many authors consider this dream as very positive one especially if the dreamer is suffering from a disease, because eucalyptus is a symbol of recovery and healing energy. If the dreamer is not sick, then it indicates agility and flexibility which is increased and that will allow us to take on projects without the fear of awkwardness from our spontaneous actions.