No, the ‘issue’, as stated in this article, is the legality of READING classified material which has ALREADY been put on “non-classified” systems.
There should be no legal issue for anyone who does not possess a security clearance and will not seek one in the future. However, those who do have one agreed to not read such material and therefore risk the revocation of their clearance should they be caught reading it. Revocation of clearance usually means losing a job too, since the job likely requires the clearance. Those who will seek a clearance have shown they are willing to disregard regulations for their own curiosity, lowering the likelihood they will be granted one.
That said, I highly doubt reading a headline that says "WikiLeaks released X about Y" will put anyone's clearance in jeopardy. I'm willling to bet that downloading the actual documents will.