Hubert,
There is no reason to stop the acquisition. During a continuous acquisition, if you just want to display the most recent data taken without reading the entire buffer, use "end of buffer" for AI Read VI and an offset of -1, and read 1 scan. If the user presses a button, then just change the offset and number of scans to read to, say, -1000 and 1000 respectively, and save it in a file. Then resume with reading only 1 scan.
You can read this data from the buffer and still have the acquisition writing to the buffer.
Mark