Prevent axes from cutting off dots in matplotlib scatter plots

import matplotlib.pyplot as plt


x = [1, 2, 3, 4]
y = [0, 1, 7, 2]

plt.scatter(x, y, color='red')
plt.title('number of iterations')
plt.xlim([1, 4])
plt.ylim([1, 8])

If one was to plot this data, the dots on the axes are partially cut off. Is there a way to prevent this (i.e. can the dots be plotted on top of the axes)?

Setting the clip_on attribute to False allows you to go beyond the axes, but by default the axes will be on top. For example, the script

x = [1, 2, 3, 4]
y = [0, 1, 7, 2]

plt.scatter(x, y, color="red", clip_on=False)
plt.title('number of iterations')
plt.xlim([1, 4])
plt.ylim([1, 8])

Yields the following.

Note that the axes "cut through" the dots. If you want the dots to go on top of the axes/labels, you need to change the default zorder. For example, the script

x = [1, 2, 3, 4]
y = [0, 1, 7, 2]

plt.scatter(x, y, color="red", clip_on=False, zorder = 10)
plt.title('number of iterations')
plt.xlim([1, 4])
plt.ylim([1, 8])

yields

Note: any zorder value 3 or greater will work here.