While I was testing it there was no load at all.
Hmmm. I'm not sure I understand. No load, as in "motor not connected to anything" or no load, as in "motor hooked up to the saw but not cutting metal"?
If the former, I suppose the motor just expects to be cooled by airflow from a moving vehicle. In that case add a fan and hope for the best. If the latter, there's your load: just moving the frame is a bit much.
All of that avoids what I think the real question will be: is a wiper motor adequate to run a small saw? Depends on what "small" means, but I'll take that to be a typical hobby 4x6 bandsaw equivalent. That is capable of cutting not just thin stock, but 1-3" bar, heavy angle, and at least 1" plate. A 4x6 is a nice hobby size; price is not irrational ($300, often on sale for less than $200, can be found used for half that with a bit of luck). So an equivalent frame-type saw might use 10" blades and be able to go 3" (better 6") deep. I owned one of each type, years ago.
Just poking around, a heavy duty 24vDC wiper motor appears to have a 6 amp stall current and delivers about 110 inch-pounds. A more typical 12v motor stalls at around an amp -some less. The bigger motor is about 150 watts; a quarter horse motor, allowing some windage for efficiency, is around 200+ watts and is underpowered for a 4x6 bandsaw type saw (mostly, those use 1/3 or 1/2 hp motors (Chinese, so probably over-claimed, but anyway 300 watts or so).
Since you're using a reciprocating drive, I presume you're planning a power hacksaw, not a bandsaw. Building a reciprocating drive is pretty easy. A disk with an eccentric crank to the sawframe, and a double reduction pulley (a couple 5:1 ratios) will get you down from 1740 rpm to 70 strokes/min. I'd be tempted to use a chain drive; higher ratio is easier. Or a worm type reducer (there are worm gears in old antenna rotators that will handle the power, for example).
In any case, I recommend you reconsider your drive. I predict it will be underpowered and frustrating to use for material of any size above an inch or so- maybe smaller.
(I understand you've got a UK motor; my comps are all US, but probably close enough).