On-chip trainable neural networks show great promise in enabling various desired features of modern integrated circuits (IC), such as Built-In Self-Test (BIST), security and trust monitoring, self-healing, etc. Cost-efficient implementation of these features imposes strict area and power constraints on the circuits dedicated to neural networks, which, however, should not compromise their ability to learn fast and retain functionality throughout their lifecycle. To this end, we have designed and fabricated a reconfigurable analog neural network (ANN) chip which serves as an expertise acquisition platform for various applications requiring on-chip ANN integration. With this platform, we intend to address the key cost-efficiency issues: a fully analog implementation with strict area and power budgets, a learning ability of the proposed architecture, fast dynamic programming of the weight memory during training, and high precision non-volatile storage of weight coefficients during operation or standby. We explore two learning structures: a multilayer perceptron (MLP) and an ontogenic neural network with their corresponding training algorithms. The core circuits are biased in weak inversion and make use of the translinear principle for multiplication and non-linear conversion operations. The chip is mounted on a custom PCB and connected to a computer for chip-in-the-loop training. We present measured results of the core circuits and the dual-mode weight memory. The learning ability is evaluated on a 3-input XOR classification task.