[amiman]

Just been to allotment and lifted our radishes.  Good size and solid shame really.
Something has attacked them not a clue what. 2 complete rows of them
Please look at photos and see if you can tell me;

Thanks in advance

[Subversive_plot]

I'm pretty certain that is root maggot.  I would be interested in what others think. If it is root maggots:

(1) Don't compost anything in the cabbage or mustard family, especially anything infested.

(2) rotate the area where this happened into other types of plants that are not affected (example: beans)

(3) Consider using floating row covers over susceptible crops as a preventative measure.

(4) Chemical or biological controls? I'm not sure what is available to you, or acceptable to you.  Something to think about.

[Gardener and Rabbit]

Yes, I'd agree, most of the damage is due to root maggot.

One or two look a bit different, larger areas of damage, maybe a field mouse has had a nibble there too.

G&R

[amiman]

Thanks for the quick answers.
something else for me to learn about.

I also have leeks in the same bed will they have attacked them aswell?

[Subversive_plot]

There is a different species of root maggot that attacks onions, leeks, shallots, anything in the Allium Family. So, yes, they can be damaged by root maggot, but it won't be THESE root maggots.

Since my first post, I have looked up potential treatments (these would apply to all root maggots).  You can also try beneficial nematodes that eat root maggots.  Or a pyrethrin soil drench (pyrethrin is acceptable in organic gardening). Or a lime soil drench.  Yellow sticky traps may also work, or diatomaceous earth.  There are many options. 

There are probably chemical controls that could also work, if that is your preference.  The agencies I would consult in the USA for advice are different from in the UK.  Here, we have the Cooperative Extension Service, which is a joint program between agricultural universities, U.S. Department of Agriculture and similar state agencies.  In the UK, I understand you have the Agricultural Development and Advisory Service. You might want to find out if they provide advice on consumer-level crops (that is, to private individuals with vegetable plots).