To dream of a climbing up something represents overcoming problems or rising above a challenge. It may also reflect a new higher level of thinking. Doing something different or using an improved method. A reflection of your struggle, determination, and ambition. Slowly working towards your goals or not letting an obstacle get in your way.
Alternatively, may be a sign that your goals are within reach. A higher level of status or success. “Climbing” towards a goal by earning it through hard work over a long period of time. Climbing towards success.
Negatively, something may reflect an attempt to use something as way to evade problems or confronting honesty you have neglected. An excessive need to keep working at long-term goals that are negative, illegal, or primarily concerned with embarrassing someone else. Overworking or using long term goals to avoid people. An arrogant attitude or desperation about achieving more than others.
To dream of a rope represents an opportunity to help yourself improve yourself. Fixing your problems on your own or using all your strength or resources to overcome something by yourself.