Per your last comment...
You would need to capture the value from the textbox and pass it through to the stored proc via the data context. Something similar to this:
string clientName = txtClientName.Text;
string clientAddress = txtClientAddress.Text;
YourDataContext dc = new YourDataContext();
dc.ClientInsert(yourId, clientName, clientAddress);
Again, I would not generate an ID client side, I would return it from the stored proc, so I would prefer to see this:
string clientName = txtClientName.Text;
string clientAddress = txtClientAddress.Text;
int? clientID = 0;
YourDataContext dc = new YourDataContext();
dc.ClientInsert(ref clientID, clientName, clientAddress);
Edited to fix second approach...
Cheers.