Suppose I'm using chi-square analysis to determine the relationship, if any, between a pair of categorical variables. How should I interpret the results if I get a significant chi-square statistic but...

Suppose I'm using chi-square analysis to determine the relationship, if any, between a pair of categorical variables.  How should I interpret the results if I get a significant chi-square statistic but see that the high value is driven essentially by only a couple of cells in the crosstab?  Is there a better way to proceed to get an imnproved understanding of what's going on?  Thanks.