Scratch

Yes.  You can store your previous positions in a list pen a line to your positions a few frames back.  A potential script may be:

when gf clicked
delete (all v) of [x v]
delete (all v) of [y v]
add (0) to [x v]
add (0) to [x v]
add (0) to [x v]
add (0) to [x v]
add (0) to [y v]
add (0) to [y v]
add (0) to [y v]
add (0) to [y v]
go to x:(0) y:(0)
forever
your movement script goes here
replace item (4 v) of [x v] with (item (3 v) of [x v])
replace item (4 v) of [y v] with (item (3 v) of [y v])
replace item (3 v) of [x v] with (item (2 v) of [x v])
replace item (3 v) of [y v] with (item (2 v) of [y v])
replace item (2 v) of [x v] with (item (1 v) of [x v])
replace item (2 v) of [y v] with (item (1 v) of [y v])
replace item (1 v) of [x v] with (x position)
replace item (1 v) of [y v] with (y position)
pen down
go to x:(item (2) of [x v]) y:(item (2) of [y v])
go to x:(item (3) of [x v]) y:(item (3) of [y v])
go to x:(item (4) of [x v]) y:(item (4) of [y v])
pen up
go to x:(item (1) of [x v]) y:(item (1) of [y v])

Kileymeister wrote:

MoreGamesNow's script works fine, just remember to add a clear block anywhere above pen down.

Good call 

fetchydog567 wrote:

You could use this script:

when gf clicked
set pen size to (something)
forever
pen down
wait (0.07) secs
clear
end

Note: This way only works in turbo mode.
Example:http://scratch.mit.edu/projects/fetchydog567/3008034

You do know that you could improve your script by switching the pen down and clear blocks? This'll help reduce the flashing that you're experiencing.

I hope that this helps!