principal component analysis and scoring

I have a set of data and want to determine which cases group in terms of the component factors determined through principal component analysis. I'm using SPSS and notice that I can have component scores saved to the data table for each of the cases. Do these component scores indicate the strength of the association of each of the cases with the different component factors? Can I conclude from this that cases which score high in say the first component factor are related based on the first component factor?

Thanks for the insight.