If you want to experience the difference between the effect of the traditional planetary symbolism that ends with Saturn, and the symbollism in the modern planets that are beyond it, you may find the position of Chiron in the natal chart very interesting to study and consider.
It has not yet been given an official astronomical status. It is not classified as a planet, but as 'an alien visitor' to the solar system whose orbit at some time in the distant future will move on and out of the Sun's pull upon it.
I think 'alien' is a good way to describe its possible effects. After its viewed discovery, new situations became a part of life that had never been experienced before. I particularly noticed it in the way that the migration of people to other regions of the planet brought their customs and cultures with them. The considered barbaric ways of dealing with situations are/were completely alien to the Saturn-ruled society of the land.
It takes a long while for alien integration of any kind to find acceptance, occur, and bring about renewed visions for the future.
The correspondences in many matters got me thinking.
Using astro. symbolism, to come to an altered and renewed vision (Uranus) of how conditions of the manifested past ( Saturn) can influence an individual's life, it is necessary to be able to look at and review those situations from an alternative perspective. Many will choose some sort of therapy to do this to encourage a breakthrough in those behaviour patterns, that can bring about a change in one's life. 'The breakthrough' can see and be the effect of Chiron's position in a chart.
Chiron breaks through the wall of Saturn's old and outdated patterns to let in the 'aha' moment that sees the awakening and/or illuminating light of Uranus's nature (I have the video of Queen's 'Breakthrough' to thank for a personal 'aha' moment). Or, it can be like the foot in the Saturn door that can no longer stay closed and allows the fresh air (Uranus) in. It can often be compared to the opening of the can of worms (experiences): That which we don't really want to see but at least enables us to finally confront.
Chiron has an approx. 50 year orbit of the Sun. Once again, similar to that of Pluto, its path is elliptical of nature, so it spends shorter/longer transiting one sign than another. Its path crosses the orbitital path of both Saturn and Uranus, which accounts for its joint effect from both.'The Bridge' as it has been called.
If, via the ephemeris, you follow the transit of Chiron through the signs, you may well find that as it aspects a natal planet, a worm can wriggle inside; that of its natal position that can indicate 'a pain inside' of a label that you experience to alienate you in your association with others. Whether the wriggle is dealt with depends upon the strength of character. Chiron's position is not negative of nature. Known as 'the wounded healer' (Eve Jackson), it allows any self-healing from the past to have an effect. It has strong associations with the therapautic and shamanic nature.
( E.g. I have Chiron in Virgo square Uranus, modern ruler 6th house. Once into astrology I developed a passion for its medical/health associations. )